EAS207-2nd-exams-2007-10

# EAS207-2nd-exams-2007-10 - EAS 207 - STATICS . Second Exam...

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Unformatted text preview: EAS 207 - STATICS . Second Exam Fall 2007 g r ' Total points: 100 Notes: 1. Closed book exam. 2. Draw Free-body diagrams and reference axes for problems 1 & 2. 0.1) For the truss shown in ﬁgural, using the ‘Method of Sections’, Determine (a) the force in member [36, and (b) the force in member EF. (1.2) (a) Determine the support reactions at B and the'normal force the pin at C exerts on the smooth slot for the frame shown in fig. 2. (b) Also calculate the support reactions at ﬁxed end A. Q. 3) Determine the ‘Center of Mass’ of the Biock shown in Fig.3. The block is made of steel (density p = 10 kg/ms) and the cylindricai' insert A is made of bronze (density p = 5 kg/m3). The ins A has a diameter of 0.3m and the cylin rical hole B is at the cent 0 \th‘e right face of the EAS 207 -- STATICS . Second Exam Fall 2008 Total points: 100 Note: This is a “Closed book” examination. The time allowed for solving the following questions is 2 hours. Q1) A roof truss is loaded as shown in the ﬁgure 1 below. Determine the force in members FH, Gd, GI and HG. (34 points) Q. 2) Determine the centr\_'d'of the area shown in the ﬁgure below in terms of “a” and ' (33 points) Q. 3) For the rectanguiar sh pe with a Z cutout showmbeiow, Determine a) ix, iy and ixy at point for the given oentroia’i axes. b) The orientation of prinoigal axes with resp t to the oentrodial axes. Show them on a sketch. ' C) The values of principai mo ent of inertiQ ,n p. 5. 1.. p. p... EAS 207 - STATICS - Second Exam Fall 2009 Total points: 100 Notes: 1. Closed book exam. . 2. Draw Free-body diagrams and reference axes for all problems Q.1(a) For the loaded truss shown in Fig. 1(a), use the method of sections or a combination of the method of sections and the method ofjoints to find the forces in membeBJK and DJ. (17 points) l t l l . . ram-11th ' l—:——10ﬁ—>~L+—10t+.——>4«~10ft—>+<~10ﬁ_._t.._ ; 101%.”... loﬁﬂu \$7 . k, :3 , Rmi W Ft : M05 3 . /‘M Q.1(b)k Determine the support reactions at supports A of the loaded frame shown in Fig. 1(b). 4 (17, points) Q.2) A beam is loaded and supported as shown in Fig. 2. i) Calculate the support reactions. (8 points) ii) Write the expressions for shear-force (V) and bending-moment (M) for a section between points C and D, as a function of x measured from the left—end support A. (8 points) iii) Draw complete shear and bending moment diagrams for the beam with the aid of the area integration process. Be sure to label the values of shear force and bending moment on the diagram. (18 points) _ i g . ‘ jéM/m ' ' L I {— ZW\ W\ 3m Q.3) A iOO-Kg cylinder rests against a wall and a plate as shown below. The coefficient of static friction is 0.3 at both Surfaces. The plate rests on rollers, and friction between the plate, the rollers and the floor is negligible. Neglect the weight of the plate and determine the minimum force P ' necessary to move the plate. (Hint: The cylinder may not slip with the wall Radix»; 2 ice W and the plate simultaneously). (32 points) EAS 207 - STATICS Second Exam I Fall 2010 , v Total points: 100 Notes: 1. Closed book exam. . 2. Draw Free—body diagrams and reference axes for all problems Q.1(a) Determine the forces in members FZG, BC and EF ofthe loaded crane truss shown in Fig. 1(a) , . Pg: *2: lot; KN C6) l Fm: .2 42:27 KN U) .m- »M MWWNMWWM «wwww» Q.1(b‘) The exercise machine shown in Fig. 1(b) ismdwesigned with a cart which is mounted on small rollers so that it is free to move along the inclined ramp. Two cables are attached to the cart (one for each hand). if the hands are together so that the cables are parallel, determine the force P which each hand must exert on its cable in order to maintain an equilibrium position. The mass of the person is 70 Kg, the ramp angie is .1.5.9.-,and-the angle.-§3.ts ,,1,.§9..,,,,mad.dition?calcutatethe.force.R wh tenths. . ramp exerts on the cart. . (15 points) Q2) A beam is ioaded and supported as shown in Fig. 2. i) Calculate the support reactions. (8 points) ii) Write the expressions for shear-force (V) and bending-moment (M) for a section between points C and D, as a function of x measured from the ieft-end of the beam. (8 points) iii) Draw complete shear and bending moment diagrams for the beam with the aid of the area integration process. Be sure to iabei the values of shearforce and bending moment on the diagram. (18 points) < qux‘ﬁ 300 (3 3‘1 ' ‘ I " W AH Blocks A and B (as shown in Fig. 3) weigh 80 lbs and 20 lbs, respectiveiy. Determine the maximum weight of block E that will not cause motion of the biocks A and B. (33 points) ...
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EAS207-2nd-exams-2007-10 - EAS 207 - STATICS . Second Exam...

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